Solving the State of 2 Qubits from a General Werner State

In summary, a 2-qubit system is a quantum system with two qubits, which can exist in a superposition of two states and enable powerful computations. A Werner state is a type of quantum state that describes the entanglement between two qubits, characterized by a Werner parameter. Solving the state of 2 qubits from a general Werner state is important for understanding and quantifying entanglement, and can be done using mathematical techniques such as the Schmidt decomposition and concurrence. Potential applications include quantum teleportation, error correction, and key distribution, as well as advancing our understanding of entanglement and quantum system dynamics.
  • #1
wam_mi
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Homework Statement



If I was given a general Werner state: u |001> + v |010> + w |100>, where u, v and w are just arbitrary constants. Now, the question is, what is the state of the first two qubits if the third is measured to be |1>?

Homework Equations






The Attempt at a Solution



Do I have to use some sort of properties of product states and entangled states, can someone please help? I don't really know how to approach this problem.
 
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  • #2
What operator represents this measurement?
 

Related to Solving the State of 2 Qubits from a General Werner State

1. What is a 2-qubit system?

A 2-qubit system is a quantum system consisting of two qubits, which are the basic units of quantum information. Each qubit can exist in a superposition of two states, 0 and 1, at the same time, allowing for more complex and powerful computations and information processing.

2. What is a Werner state?

A Werner state is a type of quantum state that describes the entanglement between two qubits. It can be represented by a density matrix and is characterized by a parameter called the Werner parameter, which determines the degree of entanglement in the system.

3. Why is solving the state of 2 qubits from a general Werner state important?

Solving the state of 2 qubits from a general Werner state is important because it allows us to understand and quantify the amount of entanglement in a quantum system. This information is crucial for various applications in quantum computing, communication, and cryptography.

4. How is the state of 2 qubits from a general Werner state solved?

The state of 2 qubits from a general Werner state can be solved using mathematical techniques such as the Schmidt decomposition and concurrence. These methods allow us to calculate the density matrix elements and determine the degree of entanglement in the system.

5. What are the potential applications of solving the state of 2 qubits from a general Werner state?

The applications of solving the state of 2 qubits from a general Werner state include quantum teleportation, quantum error correction, and quantum key distribution. It also has implications for understanding the dynamics of entanglement and the behavior of quantum systems.

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